Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is: (a) 6

Answers

Answer 1

Answer:

4 triangles

Step-by-step explanation:

the number of triangles in a polygon is (the number of sides in the polygon - 2)

Answer 2

The number of triangles inside a polygon with six sides are 4.

What is a polygon? What is a mathematical function, equation and expression?               polygon : A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that the number of sides in a polygon is 6.

If the polygon has {n} sides, then the number of triangle in a polygon is → (n – 2).For n = 6, the number of triangles would be - (6 - 2) = 4

Therefore, the number of triangles inside a polygon with six sides are 4.

To solve more questions on polygons, visit the link below -

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#SPJ5


Related Questions

At the end of a snowstorm, Katherine had 18 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Katherine have on her lawn 4 hours after the snow began to melt? How much snow would Katherine have on her lawn after t hours of snow melting?

Answers

After 4 hours of snow melting, there would be 8 inches of snow with the rate of 2.5 inches per hour Katherine would have on her lawn and after t hours the snow would be = 18 - 2.5*t inches.

In this question, the amount of snow melted is required to calculate to know the amount of snow on the lawn, can be calculated by:

the melted amount = rate of melting × time

Given:

The total amount of snow = 18 inches

Rate of melting = 2.5 inches

Time = 4 hours

Solution:

The amount melted needs to be calculated first in order to find left snow, therefore, putting values in the formula mention above,

the melted amount = rate of melting × time

the melted amount = 2.5 × 4 inches

the melted amount = 10 inches

Then the final amount would have on the lawn =  starting amount−melted snow

=  18−10 inches

= 8 inches

Part b) Snow after t hours:

Starting amount=  18 inches

Melted snow=  inches per hour×t

= 2.5×t

= 2.5t

Final amount = starting amount−melted snow

= 18 -2.5t

Thus, the correct answer is - 8 inches and 18 -2.5t

Learn more:

https://brainly.com/question/19122325

How to write a book report plz help ​

Answers

Answer:

[tex]name \: of \: the \: book \\ auther \: of \: book \\about \: auther \: shortly \\ content \: of \: the \: book \\ comparison \: with \: any \: social \: issue \\ relevence \: of \: that \: in \: present \: days \\ important \: peoples \: thoughts \: about \: that \: book \\ ur \: opinion \: about \: it \\ i \: hopethis \: helps \: you[/tex]

Answer:

Depends on the level, you are writing!! Check the pictures below.

Step-by-step explanation:

Aimee deposited $250 into a savings account with the simple interest of 6% per year.

After 4 years, how much money, in total, will she have in her account?

Answers

Answer:

Step-by-step explanation:

Interest=principal*rate*time/100

Interest=240$

Amount= principal + interest

Amount=$490

A person picks 250 apples an hour and works for 5 hours a day. How many apples can be picked in 2 weeks, assuming apples are picked each day??

Answers

Woah picking apples seems like a fun job…very fun…anyway…
So this person picks 250 apples in 1 hour and works 5 hours a day. Do 250 times 5 because he will be picking apples for 5 hours a day. 250x5=1,250 apples. This person picks 1,250 apples a day. So the question asks how many apples can be picked in two weeks if this person picks apples everyday. We all know there are 7 days a week, so if it’s 2 weeks, then 7x2=14 days in 2 weeks. Now we take that 1,250 (number of apples this person picks a day) and times it by 14 (days this person will be picking apples). 1,250x14=17,500 apples. 17,500 apples can be picked in 2 weeks.

Answer:

17,500 Apples in 2 weeks

Step-by-step explanation:

250 apples*5 hours*14 days= 17,500 Apples in 2 weeks

An airplane heads in the direction of N25°E at 325 mph. A tailwind is blowing in the direction N40°W at 50 mph. What is the actual velocity of the plane?
A) 315.786 mph
B) 349.084 mph
C) 438.064 mph
D) 121860.018 mph​

Answers

In order to fully understand the actual velocity of the airplane bearing, we've carefully drawn out the sketch.

From the image below, by applying the cosine rule to calculate the actual velocity of the plane from the starting point, we have:

b² = a² + c² - 2ac Cos B

where;

a = 50 mph c = 325 mph∠B = 65° + 50° = 115°

b² = (50² + 325²) - (2 × 50 × 325 × Cos 115°)

b² = 2500 + 105625 - (32500 ×  (-0.4226))

b² = 108125 - (-13734.5)

b² = 121859.5

[tex]\mathbf{b =\sqrt{121859.5 }}[/tex]

b = 349.08 mph

Therefore, we can conclude that the actual velocity of the airplane from its starting point is 349.08 mph.

Learn more about bearing and distance here:

https://brainly.com/question/19017345?referrer=searchResults

An airplane travels due east 75 miles and then due north 65 miles. How far is the airplane from its starting point? Round to the nearest hundredth of a mile.

I will mark brainliest

Answers

Answer:

99.25 miles

Step-by-step explanation:

The straight line from the starting point forms a hypotenuse of the right triangle with the legs 75 and 65 miles. Use Pythagorean.

The distance is:

[tex]\sqrt{75^2+65^2} = \sqrt{9850} = 99.25[/tex] miles (rounded)
P=75B=65

Using Pythagorean theorem

[tex]\\ \rm\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \rm\longmapsto H^2=75^2+65^2[/tex]

[tex]\\ \rm\longmapsto H^2=9850[/tex]

[tex]\\ \rm\longmapsto H=\sqrt{9850}[/tex]

[tex]\\ \rm\longmapsto H=99.247[/tex]

[tex]\\ \rm\longmapsto H=99.25miles[/tex]

Navigate 6 plus negative 2

Answers

-8 is the answer

Step-by-step explanation:

hope it will help you

276.4 rounded to the nearest tenth

Answers

Answer:

This is the nearest tenth already.

Answer:

276.4 rounded to the nearest tenth = 276.4

Step-by-step explanation:

round 276.4 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.

See the attachment for more examples

carlas rectangular picture frame is 10 inches wide and 12inches long, which picture frame is similar but not congruent to carlas picture frame

Answers

Answer:

12 inches wide 15 inches long

Step-by-step explanation:

Any length of sides that dont have the same side-side ratio with carlas rectangular picture frame (example: 10/12 [tex]\neq[/tex] 12/15)

Perform the indicated operation.Perform the indicated operation.




-50

-95

-20

none of the above

PLEASE HELP ASAP!!!!

Answers

[tex]Hello[/tex] [tex]There![/tex]

Quite easy...

It's -20.

Hopefully, this helps you!!

P.S I love late points.

:>

[tex]AnimeVines[/tex]

Round your answer to the nearest hundredth​

Answers

Answer:

∠ B ≈ 64.62°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{7}[/tex] , then

∠ B = [tex]cos^{-1}[/tex] ([tex]\frac{3}{7}[/tex] ) ≈ 64.62° ( to the nearest hundredth )

Ms. Jacobs is a photographer. For each job she charges $135 for the first hour she works and $100 for each additional hour. Ms. Jacobs charged a total of $535 for a job on Friday. Which equation can be used to determine h, the number of additional hours she worked on this job? MI - A 135h + 100 = 535 B 135 + h + 100 = 535 SI - C 135 + 100h = 535 PSA - D 135h = 535 + 100 is​

Answers

Answer:

The answer is C, 135 + 100h = 535.

Step-by-step explanation:

H can't be multiplied by 135, since that's only for one hour.  That value never changes, so it can't be A.  It's not B because that implies that she starts out by charging $235 for the first hour, plus the # of additional hours, which doesn't make sense.  And it's not D because the total amount of $ that she receives must EQUAL 535, but there is another number on the same side with 535.  Therefore, the only answer that remains is C.  

P.S. She worked 4 additional hours.

Can anyone plz ans it correctly I will mark as brainliest plz ans it correctly​

Answers

1. ∠AGH

Alternate angle — ∠DHG

Corresponding angle — ∠CHF

Co-interior angle — ∠GHC

Vertically opposite angle — ∠EGB

2. ∠CHG

Alternate angle — ∠BGH

Corresponding angle — ∠AGE

Co-interior angle — ∠AGH

Vertically opposite angle — ∠FHD

3. ∠DHG

Alternate angle — ∠AGH

Corresponding angle — ∠BGE

Co-interior angle — ∠HGB

Vertically opposite angle — ∠CHF

4. ∠BGH

Alternate angle — ∠CHG

Corresponding angle — ∠DHF

Co-interior angle — ∠GHD

Vertically opposite angle — ∠AGE

What fraction is 1.64 equal to?

Answers

Answer:

41/25

Step-by-step explanation:

1.64x100 = 164
1x100 = 100

164/4 =41
100/4 =25

Answer = 1 16/25

164 is greater than 100 therefor the problem can be simplified to a mixed fraction.

calculate the total surface area of the give cuboid​

Answers

320 centimeters squared
Given,
H= 4cm
L= 10cm
B= 8 cm

We know that,
Total Surface Area= Area of Roof + Area of four walls + Area of Floor

TSA= L*B + 4(L*H) + L*B
10*8 + 4(10*4) + 10*8
80 + 4(40) + 80
80+ 160 + 80
160 + 160

320 cm^2.

Sam bought 8 new trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did sam start with?

Answers

Answer:

(8 + A) = 80 / 2 =40

A=72

Step-by-step explanation: Simple if sam bought 8 trading cards he obviously had some to start with and if half of that was 40 then the complete set was 80 and 80 - 8 is 72.

please help asap show work and dont put links

Answers

Answer:

a. 41

b. -31

c. 25/3, no

Step-by-step explanation:

when it says find f(14) the number inside the parenthesis is x, so you just plug that number into the equation which in this case is 3x-1. for c it says find the input if the output is 24. so basically the output is f(x) or y and the input is x. so 3x-1 = 24.

Solve - 4x + 2 > 26.

Answers

Answer:

x < -6

Step-by-step explanation:

-4x + 2 > 26

Subtract 2 from both sides

-4x > 24

Solve for x

x = 24/-4

x < -6

find x if b is the midpoint of the line AC.
AB=6x-6 and BC=72

Answers

Answer:

[tex]if \: b \: is \: the \: mid \: point \: then \: \\ ab = bc \\ then \: 6x - 6 = 72 \\ 6x = 72 + 6 \\ 6x = 78 \\ x = \frac{78}{6} \\ x = 13 \\ thank \: you[/tex]

This question is simply about division of line segments.

x = 13

We see that point B is the mid point of line AC. This means that;

AB = AC

Now, since AB = 6x - 6 and BC = 72

Thus, 6x - 6 = 72

Add 6 to both sides to get;

6x = 78

divide both sides by 6 to get;

x = 13

read more here; brainly.com/question/10838483

Find the value of x.

Answers

[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]

20x2 y(x2 - y2) and 35xy?(x - y)
lcm

Answers

Answer:

Correct option is

HCF of 20 and 35 = 5

HCF of x2yandxy2=xy

HCF of (x2−y2),i.e.,(x−y)(x+y)

and (x−y)=(x−y)

∴ReqdH.C.F=5xy(x−y)

Step-by-step explanation:

hiiii ur so cute

the ratio of the number of adults to the number of students at the prom has to be 1:10. Last year there were 450 more students than adults at the prom. If the school is expecting the same attendance this year, how many adults have to attend the prom

Answers

Answer:

about 48 adults , because you have to divide the 477 by 10

Step-by-step explanation:

I got this question on my test and i chose this and i got it right.

I hope this helps!! :)


Round to the nearest thousand. 5,568

Answers

Answer:

Round to the nearest thousand.

5,568

= 5,000

Round to the nearest thousand

5,568

= 5,000

Y=DB-3 solve for d. These equations are still tricky for me.

Answers

add 3 to both sides, this gives y + 3 = db

then divide both sides by b, this gives (y + 3)/b = d

Find the coordinates of the point
7
10 of the way from A to B.
-6
-4
-2
2
4
6
8
10
12
14
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
A(−4,−8)B(12,7)

Answers

Answer:

The answer is

B. 6, 8, 11, 1, 7, 14, 10

C. 14, 10, 6, 9, 11, 8, 1

Step-by-step explanation:

Betsy wanted to find out if people in her town would purchase lemonade from a lemonade stand set up on the corner of Sycamore and 10th Street Out of 2546 families in the town, she found 15
to survey by assigning a number to each family and using a random number generator to choose a number. Out of the families surveyed, 12 families said that they would purchase the lemonade,
and 3 families said that they would not.
A friend of hers said that her survey results would not be significant. Why would they not be?
AO The survey was only done in one town instead of in multiple towns.
B. Only 20% of the people surveyed would not purchase from a lemonade stand.
c. A random number generator could not choose the correct families to participate
D. Betsy did not survey enough people in her town.

Answers

Answer:

I think it is D

Step-by-step explanation:

Evaluate the following expresslon: -2|9|.
18
-11
-18
11

Answers

Answer:

-18

Step-by-step explanation:

The absolute value is only on the 9, and the absolute value of positive 9 is positive 9. Multiply by negative 2 and you get -18.

Ajay is on the swim team. He improved his time on
the 50-yard freestyle from 32 seconds to 31 seconds.
What's the percent decrease in his time?

Answers

Answer:

5%

Step-by-step explanation

50/32= 1.56yard per second        ; 50/31= 1.61 yard per second

1.61-1.56= 0.05* 100= 5%

Need awnsers please

Answers

Answer:

1_ 129 , 51

2_ b

3_ 40

Step-by-step explanation:

1_ we can represent the bigger angle with x and smaller one with y

and as given, y is smaller than x by 78

so y = x - 78 (1)

as x + y = 180

we put y as we did in (1)

x + x - 78 = 180

so 2x = 258

so x = 129

and y will be 51

2_ from the figure we find the two angles form one angle = 90 degree

3_ from the defenition of complementary angles

m(c) + m(d) = 90

7r + 5 + 8r + 10 = 90

15r + 15 = 90

r = 5

so m(c) will be equal 7*5 + 5 = 40

Point R is on line segment QS

. Given QR=3x−8, QS=3x, and RS=2x, determine the numerical length of RS .

Answers

Answer: 8

Step-by-step explanation:

QS = RS + QR

3x = 2x + 3x-8

3x = 5x - 8

8 = 2x

8/2 = x

4 = x

RS = 2x = 2(4) = 8

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